A propeller blade at rest starts to rotate from t = 0 s to t = 5.0 s with a tangential acceleration of the tip of the blade at 3.00 m/s2. The tip of the blade is 1.5 m from the axis of rotation. At t = 5.0 s, what is the total acceleration of the tip of the blade?

A propeller blade at rest starts to rotate from t = 0 s to t = 5.0 s with a tangential acceleration of the tip of the blade at 3.00 m/s2. The tip of the blade is 1.5 m from the axis of rotation. At t = 5.0 s, what is the total acceleration of the tip of the blade?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 69PQ: The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is...

See similar textbooks

Related questions

Q: This figure (lal = 16.5 m/s?) represents the total acceleration of a particle moving clockwise in a…

A: Given, Total acceleration 16.5 m/s2 and radius is 1.70 m

Q: The formula v = 0.03 t can be used to calculate the tangential acceleration of an automobile moving…

Q: _1. A particle moves in a circle of radius 1.50 m according to the relation ()=5t + 3t, where 0 is…

A: Angular velocity = rate of change of angular displacement

Q: An object rotates about a fixed axis, and the angular position of a reference line on the object is…

A: (given) θ=0.100 e9t Radius of circular motion of the point is r = 6 cm = 0.06 m Angular velocity of…

Q: Two particles, A and B, are in uniform circular motion about a common center. The acceleration of…

Q: A point on a rotating turntable 17.5 cm from the center accelerates from rest to a final speed of…

A: The tangential acceleration is given by,

Q: A Motorcycle starts from rest at t=0s on a circular track of 400 m radius. The tangential component…

Q: This figure (Ja| = 14.5 m/s?) represents the total acceleration of a particle moving clockwise in a…

Q: An object with a mass of 17.7 kg is traveling around a circular path of radius 4.91 m. At a certain…

Q: A particle moves in a circular path of radius R 2 m. At some instant of time, its total acceleration…

A: Acceleration,a→=20 m/s2radius,r=2 mangle with normal, θ=30°

Q: A particle moves in a circular path of radius R =2 m. At some instant of time, its total…

A: Given:- Radius R=2m a→=20m/s2 θ=30° at=tangetial acceleration…

Q: An electric fan has blades of length 30cm as measured form the axis of rotation. If the fan is…

A: Given Data : The length of the blade is given as r = 30cm The angular speed of the blades is given…

Q: A particle is moving at a constant velocity in a circular orbit of radius R = 2 (m). As shown in the…

A: Given that:- Radius of circular orbit = 2 m Angular velocity of the particle = 0.5 rad/sec

Q: For the particle below, find it's (a) radial acceleration (b) tangential acceleration. (C) If it is…

Q: A ceiling fan has two different angular speed settings: ?1 = 455 rev/min and ?2 = 200 rev/min. What…

A: Given: The first angular speed of the ceiling fan is 455 rev/min. The second angular speed of the…

Q: The car A has a forward speed of 17 km/h and is accelerating at 3.5 m/s². Determine the velocity and…

A: Given: vA=17km/h = 4.72 m/saA=3.5 m/s2r=7.8 mΩ=2.5 rev/min=0.262 rad/sθ=41°

Q: A bug is sitting on the rim of a garden hose reel at radius 0.33 m from the axis of rotation. A…

Q: = The bee is travelling from point A to point B in a parabolic path shown in the figure. If its…

A: When acceleration varies according to time then velocity can be find out as a=dvdtdv=adt∫dv…

Q: V. A bicycle wheel of radius 40.0 cm and angular velocity of 10.0 rad/s starts accelerating at 80.0…

Q: A particle moves on the path y = 4x? with constant speed v = 10 m/s, where x and y are in meters.…

Q: An electric fan has blades of length 30cm as measured form the axis of rotation. If the fan is…

Q: A rotating disk is initially spinning at w= 6 rev/s, slows down and stops in 19.7 s. What is the…

A: Initial angular velocity , ωi = 6 rev/s Time taken , T = 19.7 sec To find = average angular…

Q: A disk of radius 2.25 m rotates about its axis. Points on the rim of the disk undergo tangential…

A: Given that, The radius of disk, r = 2.25 m The tangential acceleration of the rim of the disk,…

Q: A ferries wheel with radius 20 m which rotates counterclockwise is just starting up. At a given…

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 2.50 min.(a) What is its angular…

Q: A car at the Indianapolis 500 accelerates uniformly from the pit area, going from rest to a speed of…

Q: A propeller blade at rest starts to rotate from t = 0 s to t = 1.5 s with a tangential acceleration…

A: To determine,Total acceleration(a) of the tip of the blade.given,tangential acceleration of the tip…

Q: An electric fan has blades of length 30cm as measured form the axis of rotation. If the fan is…

Q: A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s4. What the time…

Q: 1. A wind turbine is rotating at 31 rev/min. How fast (in m/s) is a point on the blade is moving…

Q: A golfball is swung around in a uniform circular motion with a diameter of 2.1 m. f the ball makes 5…

A: Given data: Diameter, d=2.1 m Radius, r=d2=2.12=1.05 m Time taken, t=4.7 s Number of revolutions,…

Q: A particle moves in a circular path of radius R = 2 m. At some instant of time, its total…

A: This question is based on Circular Motion topic. We need to have knowledge of acceleration in…

Q: A link with a slider is rotating as shown in figure. At this instant the sliding velocity of slider…

A: Given data: The sliding velocity of slider is v=3 m/s. The tangential acceleration is at=4 m/s2.…

Q: A particle moves in a circular path of radius R = 2 m. At some instant of time, its total…

A: Given data: Acceleration (a) = 20 m/s2 Angle with the radius (θ) = 30° Required: Tangential…

Q: A disk with a radius of 3,6 cm rotates around a fixed axis so that the dependence of the angle of…

Q: A flat go-kart track consists of two straightways 100 m long with semicircular ends which have a…

A: We can find tangential acceleration by using basic equations of kinematics ,

Q: 12. The tangential acceleration of the truck has a magnitude of A. 0.490 m/. B. 0.700 m/. c 204 m/ .…

Q: For a point on a spinning disc in uniform circular motion, which of the following is not constant? A…

A: The correct option is (D) It's centripetal acceleration.

Q: A particle moves 6.7 m along a circle of radius 2.0 m. (Enter the magnitudes.) (a) Through what…

A: Given: The distance traveled by the particle along the circle is 6.7 m. The radius of the circle is…

Q: A particle is moving at a constant velocity in a circular orbit of radius R = 2 (m). As shown in the…

Q: 10 The diameter of the main propeller of a helicopter is 6 m and its rotation speed is 600 rpm.…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

A propeller blade at rest starts to rotate from t = 0 s to t = 5.0 s with a tangential acceleration of the tip of the blade at 3.00 m/s². The tip of the blade is 1.5 m from the axis of rotation. At t = 5.0 s, what is the total acceleration of the tip of the blade?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?
Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.
Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by = t2 + 0.800 t + 2.00,where t is in seconds and is in radians. At t = 0 and at t = 1.50s, what are the a. angular position, b. angular speed, and c. angularacceleration of the door?
During a certain time interval, the angular position of a swinging door is described by = 5.00 + 10.0t + 2.00t2, where is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.
Starting from a standstill, a windmill-style softball pitcher executed a pitch in 0.6 s. If her pitching arm is 0.75 m long and the tangential ball speed is 25 m/s, what is the magnitude of the total acceleration on the ball at this point?
A ceiling fan has two different angular speed settings: ?1 = 455 rev/min and ?2 = 200 rev/min. What is the ratio a1/a2 of the centripetal accelerations of a given point on a fan blade?
An Olympic speed skater increases her velocity from Vi =6.54 m/s to Vf=9.19 m/s over a period of 5.2seconds while skating around a curve with a 20m radius. What is the magnitude of her centripetal acceleration at the end of this acceleration? What is the magnitude of her tangential accelerationover this 5.2 second period?
A disk of radius 3.00 m rotates like a merry-go-round as given by the function θ = 2.00t^4 + 6.00t^2, where θ is in radians and t is in seconds. What is the radial acceleration (m/s2) of a point on the rim t = 2.00 s?
A particle initially moves in a horizontal circular path of radius π meters at a constant speed of 4 m/s. With the initial speed of the particle as 4.0 m/s and changing at the rate of 5.0 m/s2, the magnitude of the total angular displacement (in revolutions) of the particle after a time interval of 2 s is nearly?
A car starts from rest on a curve with a radius of 130 m and accelerates tangentially at 1.1 m/s2. Through what angle will the car have travelled when the magnitude of its total acceleration is 2.9 m/s2?
The rotor on a helicopter turns at an angular velocity of 3.2x102 revolutions per minute. If the rotor has a radius of 2.00 m, what arclength does the tip of the blade trace out in 3.00x102 s?
A wheel 30 cm in diameter accelerates uniformly from 250 rpm to 380 rpm in 6.2 s .How far will a point on the edge of the wheel have traveled in this time?